Compound operators constructed with binomial and Sheffer sequences

In this note we consider a general compound approximation operator using binomial sequences and we give a representation for its corresponding remainder term. We also introduce a more general compound approximation operator using Sheffer sequences. We provide convergence theorems for both studied operators

Maria Craciun
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

Sequences of binomial type; Sheffer sequences, compound operators

https://ictp.acad.ro/craciun/papers/craciun-2003-ANTA.pdf

M. Crăciun, Compound operators constructed with binomial and Sheffer sequences, Rev. Anal. Numér. Théor. Approx., vol. 32 (2003), no. 2, 135-144

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